Daily Practice - Higher Plus

On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 1.5. How many more values are in the wider class?

Rationalise the denominator of 25/√5, giving your answer in its simplest form.Rationalise the denominator of 25/sqrt(5), giving your answer in its simplest form.

Make x the subject of 6x + 2 = y(x + 2).

A cyclist speeds up steadily from 6 m/s to 24 m/s over 6 seconds. Use the area under the velocity-time graph to find the distance travelled.

The point (9, 40) lies on the circle x² + y² = 1681. Work out the gradient of the tangent to the circle at that point.The point (9, 40) lies on the circle x^2 + y^2 = 1681. Work out the gradient of the tangent to the circle at that point.